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Finding the Fourth Proportional to 2,489.27, 3,435.71 and 1,650.02

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Solution

The fourth proportional to 2,489.27, 3,435.71 and 1,650.02 is: 2,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.27 : 3,435.71 = 1,650.02 : x
  2. Step 2: Convert to fraction form
    2,489.27/3,435.71 = 1,650.02/x
  3. Step 3: Cross multiply
    2,489.27x = 3,435.71 × 1,650.02
  4. Step 4: Simplify right side
    2,489.27x = 5,668,964.79
  5. Step 5: Solve for x
    x = 5,668,964.79/2,489.27
  6. Step 6: Final answer
    x = 2,277.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.